Answer to Question #204645 in Electrical Engineering for Kabir

Question #204645

Find the volume of the solid generated by revolving about the x-axis by the curve, y2 = 9x and the line y = 3x


1
Expert's answer
2021-06-09T11:37:01-0400

"V=2x \\int_2^1 (2-x)(x^3+x+1-8)dx"

"=2x\\int^2_0(-x^4+2x^3-x^2+2x)dx"

"=[-\\frac{x^5}{5}+\\frac{x^4}{4}-\\frac{x^3}{3}+x^2]_0^1"

"=2\\pi[\\frac{-1}{5}+\\frac{1}{2}+\\frac{1}{3}+1]"

"=\\frac{29\\pi}{15}"


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